252 Dr. L. Vegard on the X-Ray Spectra 



Table VIII. the frequency would assume too high values 

 ;>s compared with Z a , and would be very nearly equal to that 

 of L a . 



When we are going to proceed further we assume that the 

 L-ring only consists of one system composed of 7 electrons. 



d. The A[ a -line. 



§ 8. At present the M-radiation is only known for a few 

 elements. As shown in Paper I. the frequencies of the 

 M a -lines can be expressed by the empirical formula 



i-(J-J)»«-M7tf + 40. • • • (15) 



According to this formula the M«-line is produced by 

 recombination from a circle witli quant-number 4 to one 

 with quant-number 3. 



We shall treat the following two possibilities : — 



(1) There is only one system with quant-number 3. 



(2) There are two ring-systems. 



First Possibility. One M-ring. 

 In this case we put into equation (11) 



i = 3, n 3 = 3, n 4 = 4, jt? 3 = 10, 

 and we get : 



<Kff4)-<fc=y<K?3)-? 3 + 7-78-8B. . . (16) 



Taking B to be in the interval 2*1<B<2'5, q 3 must be in 

 the interval 12<^ 3 <14. 



Now, in order to determine the frequency, we should 

 know the value of q 4 exactly. But this number cannot be 

 exactly found by means of M a . 



In Table IX. will be found the values of B and corre- 

 sponding to some of the best combinations of q s and q±. 







Table IX. 





?3. 



2V 



B. 



C. 



13 



10 



+ 2-30 



+ 22-4 



12 



10 



+2-14 



+ 19-8 



12 



8 



+2184 



+20-5 



